Wielomiany Fibonacciego stopnia k
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2014)
- Volume: 6, page 95-100
- ISSN: 2080-9751
Access Full Article
top
Abstract
topHow to cite
topJan Górowski, and Adam Łomnicki. "Wielomiany Fibonacciego stopnia k." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 6 (2014): 95-100. <http://eudml.org/doc/296375>.
@article{JanGórowski2014,
abstract = {In this paper, we give formulas determining the Fibonacci polynomials of order k using the so-called generalized Newton symbols, i.e., the coefficients in the expansion of (1+z +z^2 +. . .+z^\{k−1\})n with respect to the powers of z.},
author = {Jan Górowski, Adam Łomnicki},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
keywords = {Fibonacci polynominals; Fibonacci numbers; Pell numbers; polynomial coefficients},
language = {pol},
pages = {95-100},
title = {Wielomiany Fibonacciego stopnia k},
url = {http://eudml.org/doc/296375},
volume = {6},
year = {2014},
}
TY - JOUR
AU - Jan Górowski
AU - Adam Łomnicki
TI - Wielomiany Fibonacciego stopnia k
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2014
VL - 6
SP - 95
EP - 100
AB - In this paper, we give formulas determining the Fibonacci polynomials of order k using the so-called generalized Newton symbols, i.e., the coefficients in the expansion of (1+z +z^2 +. . .+z^{k−1})n with respect to the powers of z.
LA - pol
KW - Fibonacci polynominals; Fibonacci numbers; Pell numbers; polynomial coefficients
UR - http://eudml.org/doc/296375
ER -
References
top- André, D.: 1876, Mémoire sur les combinaisons régulières et leurs applications, Ann. Sci. École Norm. Sup. 5(2), 155-1928.
- Belbachir, H., Bouroubi, S., Khelladi, A.: 2008, Connection between ordinary multinominals, Fibonacci numbers, Bell polynominals and discrete uniform distribution, Annales Math. et Informaticae 35, 21-30.
- Górowski, J., Łomnicki, A.: 2010, Tożsamości dla uogólnionych symboli Newtona, Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia III, 67-77.
- Hoggatt, V. E., Bicknell, M.: 1973, Generalized Fibonacci polynomials, Fibonacci Qartelly 11, 457-465.
- Koshy, T.: 2001, Fibonacci and Lucas numbers with applications, Iohn Wiley & Sons, Inc.
- Philippou, A. N., Georghiou, C., Philippou, G. N.: 1983, Fibonacci polynomials of order k, multinomial expansions and probability, Internat. J. Math. Math. Sci. 6(3), 545-550.
- Schork, M.: 2008, The r-generalized Fibonacci numbers and polynominals coefficients, Internat. J. Math. Science 3(21-24), 1157-1163.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.